NDLI: On the Utilization of Magnetic Vector Potential for a Description of a Superconducting Transmission Line

Content Provider	IEEE Xplore Digital Library
Author	Anderson, N.E. Mina, M. Brojeny, A.A.B.
Copyright Year	2002
Abstract	We will present and examine an alternative approach to describe the behavior of superconducting transmission lines, and possibly weak link Josephson junction using the magnetic vector potential (A). While the utilization of magnetic vector potential is known in this field since the inception, a device level formulation based on A has not been fully investigated. We will show that for device level formulation, the magnetic vector potential is a mathematically simpler quantity to deal with than the combination of magnetic flux density (B) and electric field intensity (E) and still contains all the electromagnetic information of the junction under construction. In addition, other benefits of this formalism arise when dealing with Lagrangian and Hamiltonian mechanics. In this paper, we present a detailed description of how A can be determined for an infinite weak link Josephson junction with planar geometry. Utilizing the magnetic vector potential formulation, both electric and magnetic fields are calculated, and we show that we obtain the same dispersion relation as other approaches have previously demonstrated. We then discuss the advantages of this formalism. In addition, as an application of the present approach, we solve the Josephson junction's nonstationary equation numerically to get a realization of the actual coupling that occurs across the junction
Sponsorship	Council on Superconductivity Appl. Superconductivity Conference Inc MIT
Starting Page	1913
Ending Page	1917
Page Count	5
File Size	1093619
File Format	PDF
ISSN	10518223
Volume Number	16
Issue Number	3
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-09-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Superconducting magnets Superconducting transmission lines Magnetic flux Josephson junctions Magnetic devices Magnetic flux density Electromagnetic devices Electromagnetic fields Lagrangian functions Geometry transmission lines Electric fields magnetic fields
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering

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